Boundary-induced bulk phase transition and violation of Fick's law in two-component single-file diffusion with open boundaries

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dc.creatorBrzank, Andreas
dc.creatorSchuetz, Gunter M.
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:31:30Z
dc.date.available2026-07-07T07:31:30Z
dc.descriptionWe study two-component single-file diffusion inside a narrow channel that at its ends is open and connected with particle reservoirs. Using a two-species version of the symmetric simple exclusion process as a model, we propose a hydrodynamic description of the coarse-grained dynamics with a self-diffusion coefficient that is inversely proportional to the length of the channel. The theory predicts an unexpected nonequilibrium phase transition for the bulk particle density as the external total density gradient between the reservoirs is varied. The individual particle currents do not in general satisfy Fick's first law. These results are confirmed by extensive dynamical Monte-Carlo simulations for equal diffusivities of the two components.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0611702
dc.identifierhttp://arxiv.org/abs/cond-mat/0611702
dc.identifierDiffusion Fundamentals 4 (2006), 7.1 - 7.12
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118774
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleBoundary-induced bulk phase transition and violation of Fick's law in two-component single-file diffusion with open boundaries
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